Final answer:
The equation of the line in slope-intercept form is y = (3/7)x + 2.
Step-by-step explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept.
In this case, the slope of the line is 3/7. Therefore, the equation of the line can be written as y = (3/7)x + b.
We are also given that the point (7, 5) lies on the line. We can substitute the coordinates of this point into the equation to find the value of b.
5 = (3/7)(7) + b
5 = 3 + b
b = 2
Therefore, the equation of the line in slope-intercept form is y = (3/7)x + 2.